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math.AG2022
Chern class inequalities for non-uniruled projective varieties
Erwan Rousseau, Behrouz Taji
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this article, we extend these inequalities to the set of all smooth, projective and n…
math.AG2022
Arakelov inequalities in higher dimensions
Sándor J Kovács, Behrouz Taji
We develop a Hodge theoretic invariant for families of projective manifolds that measures the potential failure of an Arakelov-type inequality in higher dimensions, one that natura…